Prime p₀= 944023477205886829 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 30 48 12 28 2 4 36 2 36 4 2 28 12 48 30 (?)
a_n: 0 30 78 90 118 120 124 160 162 198 202 204 232 244 292 322
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 322
Found by: Theadalus
db: batch=76, k=16, 30 48 12 28 2 4 36 2

SPT(16)	944022573126733459	0 30 34 42 52 72 90 130 132 172 190 210 220 228 232 262	-904079153370
SPT(16)	944022667540614551	0 36 42 68 80 86 92 110 138 156 162 168 180 206 212 248	-809665272278
SPT(16)	944022851948367151	0 16 30 76 78 100 108 120 268 280 288 310 312 358 372 388	-625257519678
STPT(10)	944022999243250049	0 2 12 14 30 32 48 50 60 62	-477962636780
SPT(13)	944023056597280811	0 12 72 156 180 222 336 450 492 516 600 660 672	-420608606018
SPT(16)	944023464270902767	0 12 96 124 136 142 190 226 300 336 384 390 402 430 514 526	-12934984062
TPT(14)	944023819479265871	0 2 36 38 66 68 90 92 216 218 348 350 360 362	342273379042
SPT(16)	944024007536211703	0 24 34 48 90 124 150 166 168 184 210 244 286 300 310 334	530330324874
SPT(16)	944024467354199549	0 42 44 68 84 104 110 134 168 192 198 218 234 258 260 302	990148312720
STPT(10)	944024887121611577	0 2 60 62 72 74 84 86 144 146	1409915724748
STPT(10)	944025193082025881	0 2 30 32 78 80 126 128 156 158	1715876139052